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Two-Fluid Model Stability, Simulation and Chaos /

This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is for...

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Bibliographic Details
Main Authors: Bertodano, Martin Lopez de (Author)
Corporate Authors: SpringerLink (Online service)
Group Author: Fullmer, William; Clausse, Alejandro; Ransom, Victor H
Published: Springer International Publishing : Imprint: Springer,
Publisher Address: Cham :
Publication Dates: 2017.
Literature type: eBook
Language: English
Subjects:
Engineering.
Nuclear energy.
Chemical engineering.
Thermodynamics.
Heat engineering.
Heat transfer.
Mass transfer.
Fluid mechanics.
Nuclear engineering.
Engineering Fluid Dynamics.
Applications of Nonlinear Dynamics and Chaos Theory.
Engineering Thermodynamics, Heat and Mass Transfer.
Industrial Chemistry/Chemical Engineering.
Online Access: http://dx.doi.org/10.1007/978-3-319-44968-5
Summary: This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter. The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases of nonlinear two-phase behavior that are chaotic and Lyapunov stable. On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence.
Carrier Form: 1 online resource(xx,358pages): illustrations
ISBN: 9783319449685
Index Number: TK9001
CLC: TB126
Contents: Introduction -- Fixed-Flux Model -- Two-Fluid Model -- Fixed-Flux Model Chaos -- Fixed-Flux Model -- Drift-Flux Model -- Drift-Flux Model Non-Linear Dynamics and Chaos -- RELAP5 Two-Fluid Model -- Two-Fluid Model CFD.

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